Vector Position Analysis in Kinematics

00:00 3 marks

A particle moves in a plane such that its position vector at time \(t\) is given by \(\vec{r}(t) = (3t^2)\,\vec{i} + (4t)\,\vec{j}\). Determine the position of the particle at \(t = 5\) seconds.

Hint Hint

Hint

Substitute the value of \(t\) into each component of the position vector.

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The position at \(t=5\) is \(\vec{r}(5) = (75)\,\vec{i} + (20)\,\vec{j}\).

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Vector Position Analysis in Kinematics

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Vector Position Analysis in Kinematics

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